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Finding the Fourth Proportional to 102,507.58, 153,772.31 and 43,349.23

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Solution

The fourth proportional to 102,507.58, 153,772.31 and 43,349.23 is: 65,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.58 : 153,772.31 = 43,349.23 : x
  2. Step 2: Convert to fraction form
    102,507.58/153,772.31 = 43,349.23/x
  3. Step 3: Cross multiply
    102,507.58x = 153,772.31 × 43,349.23
  4. Step 4: Simplify right side
    102,507.58x = 6,665,911,233.82
  5. Step 5: Solve for x
    x = 6,665,911,233.82/102,507.58
  6. Step 6: Final answer
    x = 65,028.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.